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Finding the Fourth Proportional to 290.15, 437.07 and 282.86

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Solution

The fourth proportional to 290.15, 437.07 and 282.86 is: 426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.15 : 437.07 = 282.86 : x
  2. Step 2: Convert to fraction form
    290.15/437.07 = 282.86/x
  3. Step 3: Cross multiply
    290.15x = 437.07 × 282.86
  4. Step 4: Simplify right side
    290.15x = 123,627.43
  5. Step 5: Solve for x
    x = 123,627.43/290.15
  6. Step 6: Final answer
    x = 426.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.